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Finding the Third Proportional to 141,348 and 294,204

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Solution

The third proportional to 141,348 and 294,204 is: 612,360.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,348 : 294,204 = 294,204 : x
  2. Step 2: Convert to fraction form
    141,348/294,204 = 294,204/x
  3. Step 3: Cross multiply
    141,348x = 294,204 × 294,204
  4. Step 4: Simplify right side
    141,348x = 86,555,993,616
  5. Step 5: Solve for x
    x = 86,555,993,616/141,348
  6. Step 6: Final answer
    x = 612,360.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.